A positivity conjecture for Jack polynomials

Abstract

We present a positivity conjecture for the coefficients of the development of Jack polynomials in terms of power sums. This extends Stanley's ex-conjecture about normalized characters of the symmetric group. We prove this conjecture for partitions having a rectangular shape.

24 pages, LaTeX

References in corpus (1)

• A conjectured combinatorial interpretation of the normalized irreducible character values of the symmetric group